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Mirrors > Home > ILE Home > Th. List > dfdm3 | Unicode version |
Description: Alternate definition of domain. Definition 6.5(1) of [TakeutiZaring] p. 24. (Contributed by NM, 28-Dec-1996.) |
Ref | Expression |
---|---|
dfdm3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-dm 4619 | . 2 | |
2 | df-br 3988 | . . . 4 | |
3 | 2 | exbii 1598 | . . 3 |
4 | 3 | abbii 2286 | . 2 |
5 | 1, 4 | eqtri 2191 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1348 wex 1485 wcel 2141 cab 2156 cop 3584 class class class wbr 3987 cdm 4609 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-11 1499 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-br 3988 df-dm 4619 |
This theorem is referenced by: csbdmg 4803 |
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